A food shop buys organic oats in bags of mean weight 1000 grams. It is known that the weights of the bags in any batch are normally distributed with standard deviation 150 grams. A bag of oats is randomly selected, calculate the following probabilities, rounding your final answers to 4 decimal places. (a) The bag is exactly 750 grams (b) The bag is less than 1225 grams (c) The bag is more than 700 grams

A First Course in Probability (10th Edition)
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A food shop buys organic oats in bags of mean weight 1000 grams. It is
known that the weights of the bags in any batch are normally distributed
with standard deviation 150 grams. A bag of oats is randomly selected,
calculate the following probabilities, rounding your final answers to 4
decimal places.
(a) The bag is exactly 750 grams
(b) The bag is less than 1225 grams
(c) The bag is more than 700 grams
(d) The bag is either less than 700 grams or more than 1225 grams
(e) The bag is between 700 and 1225 grams.
(f) Bags in the top 5% contains too much oats and must be repackaged.
That is the smallest weight a bag could have and still needs to be
repackaged?
grams
Transcribed Image Text:A food shop buys organic oats in bags of mean weight 1000 grams. It is known that the weights of the bags in any batch are normally distributed with standard deviation 150 grams. A bag of oats is randomly selected, calculate the following probabilities, rounding your final answers to 4 decimal places. (a) The bag is exactly 750 grams (b) The bag is less than 1225 grams (c) The bag is more than 700 grams (d) The bag is either less than 700 grams or more than 1225 grams (e) The bag is between 700 and 1225 grams. (f) Bags in the top 5% contains too much oats and must be repackaged. That is the smallest weight a bag could have and still needs to be repackaged? grams
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